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Finding the Fourth Proportional to 5,158.03, 7,737.65 and 2,966.78

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Solution

The fourth proportional to 5,158.03, 7,737.65 and 2,966.78 is: 4,450.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.03 : 7,737.65 = 2,966.78 : x
  2. Step 2: Convert to fraction form
    5,158.03/7,737.65 = 2,966.78/x
  3. Step 3: Cross multiply
    5,158.03x = 7,737.65 × 2,966.78
  4. Step 4: Simplify right side
    5,158.03x = 22,955,905.27
  5. Step 5: Solve for x
    x = 22,955,905.27/5,158.03
  6. Step 6: Final answer
    x = 4,450.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.